The node (busbar) and branch (line) data of a power system are provided in Table Q1.1 and Table Q1.2 respectively. All values in the tables are stated in per unit (p.u.). i) Write the network incidence matrix.  ii) Using node 1 (busbar 1) as the reference (slack bus), calculate the line flows using the DC power flow method.

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter2: Fundamentals
Section: Chapter Questions
Problem 2.31P: Consider two interconnected voltage sources connected by a line of impedance Z=jX, as shown in...
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The node (busbar) and branch (line) data of a power system are provided in
Table Q1.1 and Table Q1.2 respectively. All values in the tables are stated in per
unit (p.u.).

i) Write the network incidence matrix. 
ii) Using node 1 (busbar 1) as the reference (slack bus), calculate the line flows
using the DC power flow method. 

Line number
1
2
3
Busbar number Generation (Pgen)
Table Q1.1: Network node data
1
2
3
From node
1
2
1
1.0
2.0
0
Table Q1.2
To node
2
3
3
Load (Pload)
0
0
3.0
Impedance
R+jX
0.05 + j0.10
0.01 + j0.25
0.10 + j0.20
Transcribed Image Text:Line number 1 2 3 Busbar number Generation (Pgen) Table Q1.1: Network node data 1 2 3 From node 1 2 1 1.0 2.0 0 Table Q1.2 To node 2 3 3 Load (Pload) 0 0 3.0 Impedance R+jX 0.05 + j0.10 0.01 + j0.25 0.10 + j0.20
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